Antarctica is roughly semicircular, with a radius of about r = 2050 km (see figure below). The average thickness of its ice cover is h = 3100 m. How many cubic centimeters of ice does Antarctica contain? (Ignore the curvature of Earth.)

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Antarctica is roughly semicircular, with a radius of 2000 km.The average thickness of its ice cover is 3000 m.How many cubic centimetres of ice does Antarctica contain? (Ignore the curvature of Earth.)

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Solution

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Area of the Antarctica ice A=π×(R)

2

where, R is the radius .

A=(π×2000×2000)m

2

A=1.257×10

13

m

2

Volume of the ice in Antarctica V=A∗H

where, H is the height

V=(1.257×10

13

×3000)m

3

V=3.77×10

16

m

3

Now, to convert cubic meter to cubic cm

V=3.77×10

16

/10

−6

cm

3

V=3.77×10

22

cm

3